Practice Problems: Taylor’s Formula and Error Estimates

the derivative is positive, and the seventh derivative will have a power 8 in the denominator, so it will be positive as well. A positive function with positive-slope will have its maximum ... and using a calculator to nd the max value. Doing this, I get M = 4:669 (we could do better with a piecewise linear function, for example, that is closer ... ................
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